What statement correctly describes the key features of the graph of f(x) = 4(one half)x + 1 − 3?
A. Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right
B. Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right
C. Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right
D. Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right
Answers
Answer: The correct option is B.
Explanation:
The given function is,
[tex]f(x)=4(\frac{1}{2})^{(x+1)} -3[/tex]
Put x=0 to find the y-intercept.
[tex]f(x)=4(\frac{1}{2})^{(0+1)} -3[/tex]
[tex]f(x)=4(\frac{1}{2}) -3[/tex]
[tex]f(x)=2-3[/tex]
[tex]f(x)=-1[/tex]
At x=0 the value of f(x) is -1, therefore the y- intercept is (0,-1).
Since it is an exponential function in the form of,
[tex]g(x)=ma^x+n[/tex]
Where, 0<a<1, so,
[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty[/tex]
[tex]f(x)\rightarrow -3\text{ as }x\rightarrow \infty[/tex]
Therefore the starts up on the left, gets closer to y = −3 on the right. So the option B is correct.
Answer: the correct answer is B
Step-by-step explanation:
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Two angles are supplementary. one angle is 4 degrees° less than three times the other. find the measures of the angles.
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and we have the sum a+b=180.
in addition 3b-4=a
So we have 3b-4+b=180
or 4b=184 and at the end we have b=46, a= 134
Find the percent change from 60 to 63. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
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[tex] \frac{3}{60}[/tex] = 0.05 ≈ 5%
5% increase
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Plz mark me brainliest!
Hope this helps!
The distance around a circle is called the circumference,while, the distance through the circle through the center is called the diameter. π is the ratio of the circumference to the diameter. Meaning, for any circle, if you divide the circumference by the diameter, you will always get π. This is expressed in the formula: C/d=π
Nick can throw a baseball three more than 4 times the number of feet, f, that Jeff can throw the baseball. Which numbered expression can be used to find the number of feet that Nick can throw the ball?
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N=J*4+3
more than is +
4 times is multiplying by 4 (*4)
to my understanding this is the numerical equation
So let's write this out
Nick can throw a baseball 3>4 times than F. So to write an equation to find how many feet Nick can throw the ball we do 4F+3. Now this makes sense because he throws it +3 (three more) than 4F.
Hope this helps!
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
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i am not sure what to substitite for a or w
Sorry but hopes this gives a hint
Please help thank you very much.
Answers
For the first picture, the correct answer is option B
They say that AB = BC = CD and they want us to find JM.
Well, since the right side are equal, the left side must equal to.
So, all we have to do is add them.
JK = KL = LM
7 + 7 + 7 = 21
------------------------------
The answer is 720
Sum = (6-2) * 180
Sum= 4 * 180
Sum = 720
For the last one, the correct answer is 99
This is too complicated to explain :)
I hope this helps!
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Answers
1/5 spent on instruction - 20%
Just find 80 percent of 52.5 and you will get 42 minutes not spent on instruction
If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22
Answers
The answer to your problem is D. 22. Hope this helps and have a wonderful day!
The easiest way:
a) log₄ (x) = 12, re write it in exponential way : x = 4¹² = 16,777,216
b) Plug the value of x in log₂ (x / 4)
log₂ (16,777,216 / 4) → log₂(4,194,304)
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Write 1.42 as a fraction or mixed number in simplest form.
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If i flip a coin 4 times what is the probability of one tail
Answers
Probability means occurrence of chance.
You have two sides in a coin: heads and tails.
so when you flip the coin 4 times the probability on getting one tail is one. If you had to find the probability of 2 tails then the answer would be [tex]2/4[/tex].
P = (of one tail) = [tex]1/4[/tex]
It cannot be simplified further, as it is in its simplest form already.
Hope I helped (:
Have a great day!
The volume of a cube with sides of length s is given by v = s3. find the rate of change of the volume with respect to s when s = 3 centimeters.
Answers
Final answer:
The rate of change of the volume of a cube with respect to its side length s, when s = 3 cm, is 27 cubic centimeters per centimeter.
Explanation:
The volume V of a cube with sides of length s is given by V = s³. To find the rate of change of the volume with respect to s when s = 3 cm, we need to differentiate the volume function V(s) with respect to s. The derivative of V with respect to s is [tex]\frac{dV}{ds}[/tex] = 3s². When s = 3 cm, [tex]\frac{dV}{ds}[/tex] = 3(3)² = 3(9) = 27. The rate of change of the volume when s = 3 cm is 27 cubic centimeters per centimeter.
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area equals length times width
How do you think business owners determine how much of each of their products to make?
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Answer: First - Add your costs to your mark-up. (Costs + Mark-up Amount = Baseline Price), Next - If you want to find the price percentage, (Costs x Mark-up Percentage = Mark-up Amount) (Mark-up Amount + Costs = Baseline Price) Next - Multiply your baseline price by your overhead percentage and figure out what is the amount that you must add to the baseline prices so that the overhead expenses can be covered. (Price x Overhead Percentage = Overhead Contribution)Now you must finally add your overhead contribution to your baseline price: (Overhead Contribution + Baseline Price = Final Price)
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Answers
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mathematical expression is;
'' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] ''
Now, Solve the mathematical expression by using division method as;
The mathematical expression is,
[tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] = [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
Change the mixed fraction into improper fraction as;
⇒ [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
⇒ [tex]\frac{21}{2}[/tex] ÷ [tex]\frac{9}{4}[/tex]
It can be solve as;
⇒ 21/2 ÷ 9/4
⇒ 21/2 × 4/9
⇒ 14/3
Change into mixed fraction as;
⇒ [tex]\frac{14}{3} = 4 \frac{2}{3}[/tex]
So, [tex]10\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex] = [tex]4 \frac{2}{3}[/tex].
Therefore,
The solution of the expression '' [tex]10\frac{1}{2}[/tex] divided by [tex]2\frac{1}{4}[/tex] '' will be [tex]4 \frac{2}{3}[/tex].
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Answers
Answer:
First one.
Step-by-step explanation:
M is in both angles.
we know that
An included angle is the angle between two sides of a triangle
so
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1) the included angle for MP and MN is the angle M
2) the included angle for PM and PN is the angle P
3) the included angle for NM and NP is the angle N
therefore
the answer is
the included angle for MP and MN is the angle M
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Hope this helps
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examples?
Step-by-step explanation:
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After walking 12.5 miles with a goal of 20 miles, you need to walk 7.5 more miles to meet your goal.
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Select a counter-example that makes the conclusion false.
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Counterexample:
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HOPE I HELP!!!!!!!!!!!!
Answer:
2 - 7 = -5Step-by-step explanation:
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I'm always happy to help :)What property justifies this statement? If segment A B is congruent to segment D E and segment D E is congruent to segment F G, then segment A B is congruent to segment F G.
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x y = (-3/2)x + 2
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0 0 + 2 = 2
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If you do not know how to graph it you can make a table like this:
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Answers
If Bryson purchased 40 raffle tickets. There were 500 raffle tickets sold. Then 2/25 is the theoretical probability of Bryson winning the trip
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
Bryson hopes to win a three-day vacation in a drawing that is being held at his office.
Bryson purchased 40 raffle tickets
The number of raffle tickets sold were 500
We need to find the theoretical probability of Bryson winning the trip
P(win)=40/500
=4/50
=2/25
2/25 because he bought 40 out of the 500 tickets
Hence 2/25 is the theoretical probability of Bryson winning the trip
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